Answer:
- a) AB = 10 units
- b) Midpoint is (2, 6)
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<h3 /><h3>Given</h3>
- Points A( - 1, 10) and B(5, 2)
<h3>To find</h3>
- a) The length of AB
- b) The midpoint of AB
<h3>Solution</h3>
a) Use the distance formula:
![d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}](https://tex.z-dn.net/?f=d%20%3D%20%5Csqrt%7B%28x_2-x_1%29%5E2%2B%28y_2-y_1%29%5E2%7D)
Substitute the coordinates and calculate:
![d=\sqrt{(5-(-1))^2+(2-10)^2} =\sqrt{6^2+(-8)^2} =\sqrt{36+64} =\sqrt{100} =10](https://tex.z-dn.net/?f=d%3D%5Csqrt%7B%285-%28-1%29%29%5E2%2B%282-10%29%5E2%7D%20%3D%5Csqrt%7B6%5E2%2B%28-8%29%5E2%7D%20%3D%5Csqrt%7B36%2B64%7D%20%3D%5Csqrt%7B100%7D%20%3D10)
The distance is AB = 10 units
b) Use midpoint formula and find x and y- coordinates of this point:
and ![y= \cfrac{y_1+y_2}{2}](https://tex.z-dn.net/?f=y%3D%20%5Ccfrac%7By_1%2By_2%7D%7B2%7D)
Substitute coordinates and find the midpoint:
and ![y= \cfrac{10+2}{2}=6](https://tex.z-dn.net/?f=y%3D%20%5Ccfrac%7B10%2B2%7D%7B2%7D%3D6)
The midpoint is (2, 6)
Answer:
1,5
Step-by-step explanation:
-4• 1/4 + (5•1/2)=
-4/4 + (5/2)
-1+2,5=
+1,5
Answer: #20, x = 3
#21, x = 1/2
Step-by-step explanation:
#20) x + 4 + x + 2+ x + 5 = x + 3 +x+3+x+1+x+1
3x + 11 = 4x + 8
<u>-3x -3x</u>
11= x + 8
<u> - 8 - 8</u>
3 = x
#21) 12x(5) = 6x + 9 + x + 10 + x + 7
60x =8x + 26
<u> -8x -8x</u>
52x = 26
divide both sides by 52
x = 1/2
Answer:
goes down by 2 ?
Step-by-step explanation:
23-2=21
21-2=19
19-2=17
17-2=15